Least Common Multiple of 858/89, 349/3679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/89, 349/3679 quickly i.e. 299442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/89, 349/3679 is 299442.

LCM(858/89, 349/3679) = 299442

LCM of 858/89, 349/3679

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 858/89,349/3679

Given numbers are 858/89,349/3679

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 858,349

Least Common Multiple of Numerators i.e. LCM of 858,349 is 299442.

GCF of Denominators means GCF of 89,3679 as per the given fractions.

GCF of 89,3679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,349

LCM of Fractions 858/89,349/3679 is 299442

Given numbers has no common factors except 1. So, there LCM is their product i.e 299442

Least Common Multiple of 858,349 with GCF Formula

Least Common Multiple of 858,349 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 858,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,349) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(858,349) x common factors =1 x 1 = 1

LCM(858,349) = ( 858 × 349 ) / 1

LCM(858,349) = 299442 / 1

LCM(858,349) = 299442


Lets's calculate GCF of 89,3679

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299442/1

Therefore the LCM of Fractions 858/89,349/3679 is 299442

Greatest Common Factor of 89,3679 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,3679 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 3679

List of positive integer factors of 3679 that divides 3679 without a remainder.

1,13,283,3679

Greatest Common Factor

We found the factors 89,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 89,3679 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 858/89, 349/3679

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 858/89, 349/3679?

Answer: LCM of Numerators as per given numbers 858/89, 349/3679 is

LCM of Numerators i.e. for 858,349 is 299442

GCF of denominators i.e. for 89,3679 is 1.

Thus, LCM of Fractions is 299442.Finally, LCM of Fractions for 858/89, 349/3679 is 299442.